Zobrazeno 1 - 10
of 297 258
pro vyhledávání: '"Représentation"'
Autor:
Das, Apurba
Our primary aim in this paper is to introduce and study the cohomology of a Nijenhuis operator and of a Nijenhuis algebra. Our cohomology of a Nijenhuis algebra controls the simultaneous deformations of the underlying associative structure and the Ni
Externí odkaz:
http://arxiv.org/abs/2412.15569
We study rationality properties of irreducible characters of finite groups. We show that the continuity of $2$-rationality is a phenomenon that can be detected in the principal $2$-block, thus refining a recent result of N. N. Hung. We also propose a
Externí odkaz:
http://arxiv.org/abs/2412.16128
Autor:
Heng, Edmund, Licata, Anthony M.
We describe spaces of Bridgeland stability conditions on certain triangulated categories associated to Coxeter systems. These categories are defined algebraically using the category of modules for zigzag algebras associated to Coxeter systems, which
Externí odkaz:
http://arxiv.org/abs/2412.15919
We formulate a positivity conjecture relating the Verlinde ring associated with an untwisted affine Lie algebra at a positive integer level and a subcategory of finite-dimensional representations over the corresponding quantum affine algebra with a c
Externí odkaz:
http://arxiv.org/abs/2412.14601
Autor:
Kriz, Sophie
In this paper, we consider higher tensor powers of oscillator representations over finite fields. We find a decomposition of their endomorphism algebras into group algebras of orthogonal groups, giving a new version of Howe duality for a certain rang
Externí odkaz:
http://arxiv.org/abs/2412.15346
Autor:
Tseu, Wei
We identify two existing approaches to the derived equivalence for the stratified Mukai flop of cotangent bundles of Grassmannians -- one induced by the geometric categorical sl(2) action, and the other through the magic window category of graded mat
Externí odkaz:
http://arxiv.org/abs/2412.15169
Autor:
Hong, Jiuzu, Yu, Huanhuan
The coherence conjecture of Pappas and Rapoport, proved by Zhu, asserts the equality of dimensions for the global sections of a line bundle over a spherical Schubert variety in the affine Grassmannian and those of another line bundle over a certain u
Externí odkaz:
http://arxiv.org/abs/2412.15062
We show that induction along a Frobenius extension of Hopf algebras is a Frobenius monoidal functor in great generality, in particular, for all finite-dimensional and all pointed Hopf algebras. As an application, we show that induction functors from
Externí odkaz:
http://arxiv.org/abs/2412.15056
Autor:
Gutiérrez, Álvaro
To find crystals of $\mathfrak{sl}_2$ representations of the form $\Lambda^n\text{Sym}^r\mathbb{C}^2$ it suffices to solve the combinatorial problem of decomposing Young's lattice into symmetric, saturated chains. We review the literature on this lat
Externí odkaz:
http://arxiv.org/abs/2412.15006
Autor:
Fisher, Andrew, Graves, Daniel
The study of the homology of diagram algebras has emerged as an interesting and important field. In many cases, the homology of a diagram algebra can be identified with the homology of a group. In this paper we have two main aims. Firstly, we study t
Externí odkaz:
http://arxiv.org/abs/2412.14887